What is the Greatest Common Factor of 20154 and 20174?

Greatest common factor (GCF) of 20154 and 20174 is 2.

GCF(20154,20174) = 2

We will now calculate the prime factors of 20154 and 20174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20154 and 20174.

How to find the GCF of 20154 and 20174?

We will first find the prime factorization of 20154 and 20174. After we will calculate the factors of 20154 and 20174 and find the biggest common factor number .

Step-1: Prime Factorization of 20154

Prime factors of 20154 are 2, 3, 3359. Prime factorization of 20154 in exponential form is:

20154 = 2¹ × 3¹ × 3359¹

Step-2: Prime Factorization of 20174

Prime factors of 20174 are 2, 7, 11, 131. Prime factorization of 20174 in exponential form is:

20174 = 2¹ × 7¹ × 11¹ × 131¹

Step-3: Factors of 20154

List of positive integer factors of 20154 that divides 20154 without a remainder.

1, 2, 3, 6, 3359, 6718, 10077

Step-4: Factors of 20174

List of positive integer factors of 20174 that divides 20154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 131, 154, 262, 917, 1441, 1834, 2882, 10087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20154 and 20174. The biggest common factor number is the GCF number.
So the greatest common factor 20154 and 20174 is 2.

Also check out the Least Common Multiple of 20154 and 20174